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Simplifying -6X2 + 54X + -84 = 0 Reorder the terms: -84 + 54X + -6X2 = 0 Solving -84 + 54X + -6X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '6'. 6(-14 + 9X + -1X2) = 0 Factor a trinomial. 6((-7 + X)(2 + -1X)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-7 + X)' equal to zero and attempt to solve: Simplifying -7 + X = 0 Solving -7 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + X = 0 + 7 Combine like terms: -7 + 7 = 0 0 + X = 0 + 7 X = 0 + 7 Combine like terms: 0 + 7 = 7 X = 7 Simplifying X = 7Subproblem 2
Set the factor '(2 + -1X)' equal to zero and attempt to solve: Simplifying 2 + -1X = 0 Solving 2 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1X = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1X = 0 + -2 -1X = 0 + -2 Combine like terms: 0 + -2 = -2 -1X = -2 Divide each side by '-1'. X = 2 Simplifying X = 2Solution
X = {7, 2}
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